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Number of (n+2)X(6+2) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order
1

%I #4 Nov 09 2013 06:22:52

%S 23,104,561,3071,21472,133646,919000,6530487,46899990,351910410,

%T 2629723769,20061701402,154031198836,1186422216734,9204115370568,

%U 71469834411742,556458026486814,4340103184723855,33868912292912126

%N Number of (n+2)X(6+2) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order

%C Column 6 of A231441

%H R. H. Hardin, <a href="/A231439/b231439.txt">Table of n, a(n) for n = 1..22</a>

%e Some solutions for n=4

%e ..0..0..0..1..1..0..0..0....0..0..1..1..1..1..1..1....0..0..0..1..1..2..2..2

%e ..0..0..0..1..1..0..0..0....0..0..1..1..1..1..1..1....0..0..0..1..1..2..2..2

%e ..0..0..1..1..1..1..0..0....1..1..0..0..0..0..0..0....0..0..1..1..2..2..3..3

%e ..2..2..1..1..1..1..3..3....1..1..0..0..0..0..0..0....1..1..1..2..2..3..3..3

%e ..2..2..2..1..1..3..3..3....1..1..1..0..0..1..1..1....1..1..2..2..2..3..3..3

%e ..2..2..2..1..1..3..3..3....1..1..1..1..1..1..1..1....1..1..2..2..2..3..3..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2013